#' @title Production–possibility frontier
#'
#' @description Creates production–possibility frontiers. The function allows specifying custom frontiers, modifying the type of the curves (concave or linear), creating intersections along the values of the Y-axis and the curve and customizing the final output with further arguments.
#'
#' @param ... Specify the production–possibility frontiers separated by comma (as `data.frame`) you want to display in the graph. This will override the sample curve.
#' @param xmax Numeric. Allows modifying the maximum X value for the default production–possibility frontier.
#' @param ymax Numeric. Allows modifying the maximum Y value for the default production–possibility frontier.
#' @param type Possible values are `"concave"` (default) and `"line"` to plot a concave or a linear production–possibility frontier function by default, respectively.
#' @param x Y-axis values where to create intersections with the production–possibility frontier
#' @param linecol Line color of the curves.
#' @param labels If `x` is specified are the labels for the intersection points.
#' @param generic Boolean. If `TRUE` and `x` is specified, the axis labels shows generic names. If `FALSE`, the axis labels are the actual data of the axis that corresponds to the intersection points.
#' @param geom Possible values are `"text"` to display the labels of the intersection points with text and `"label"` to show them with labels.
#' @param geomcol Color of the labels of the intersection points.
#' @param geomfill If `geom = "label"` is the background color of the label.
#' @param main Main title of the plot.
#' @param sub Subtitle of the plot.
#' @param xlab Name of the X-axis.
#' @param ylab Name of the Y-axis.
#' @param acol Color of the area of the below the production–possibility frontier
#' @param alpha Transparency of the colored area
#' @param bg.col Background color of the plot
#' @import ggplot2 dplyr
#' @export
ppf <- function(...,
xmax,
ymax,
type = "concave",
x,
linecol,
labels,
generic = TRUE,
geom = "text",
geomcol = 1,
geomfill = "white",
main = NULL,
sub = NULL,
xlab = NULL,
ylab = NULL,
acol,
alpha = 0.3,
bg.col = "white"){
m <- FALSE
if(missing(...)){
ncurve <- 1
if(missing(xmax)){
xmax <- 6.5
}
if(missing(ymax)){
ymax <- 6.5
}
if(type == "concave") {
# Example indifference curve
curve <- data.frame(Hmisc::bezier(c(0, xmax - 1.5, xmax),
c(ymax, ymax - 1.5, 0)))
m <- TRUE
}
if(type == "line") {
curve <- data.frame(x = c(0, xmax),
y = c(ymax, 0))
m <- TRUE
}
} else{
curve <- list(...)
ncurve <- length(curve)
class <- vector("character", ncurve)
for(i in 1:ncurve) {
class[i] <- class(curve[[i]])
}
if(any(class != "data.frame")) {
stop("You can only pass data frames to the '...' argument")
}
if(ncurve == 1){
m <- TRUE
}
}
if(missing(linecol)){
if(missing(...)){
linecol <- 1
}
if(!missing(...) & ncurve == 1){
linecol <- 1
}
if(!missing(...) & ncurve > 1){
linecol <- rep(1, ncurve)
}
} else {
if(!missing(...) & length(linecol) == 1){
linecol <- rep(linecol, ncurve)
}
}
if(missing(labels) & !missing(x)){
labels <- LETTERS[1:length(x)]
}
if(!missing(x)){
if(any(x < 0) | any(x > max(data.frame(curve)$y))) {
warning("There are values on the 'x' argument lower than 0 or greater than the maximun value of the curve")
x <- x[x <= max(data.frame(curve)$y)]
}
# Calculate the intersections of the curves
intersections <- tibble()
if(missing(...) | length(curve) == 1) {
for(i in 1:length(x)) {
intersections <- intersections %>%
bind_rows(curve_intersect(data.frame(x = c(0, 10000), y = rep(x[i], 2)), data.frame(curve)))
}
}else {
intersections <- vector("list", ncurve)
for(i in 1:ncurve){
for(j in 1:length(x)) {
intersections[[i]][[j]] <- bind_rows(curve_intersect(data.frame(x = 1:1000, y = rep(x[j], nrow(curve[[1]]))), curve[[i]]))
}
}
intersections <- bind_rows(intersections)
}
print(intersections)
}
p <- ggplot(mapping = aes(x = x, y = y))
if(!missing(acol)){
p <- p + geom_ribbon(data = data.frame(curve),
aes(x = x,
ymax = y), ymin = 0,
alpha = alpha, fill = acol)
}
if(missing(...) | m){
p <- p + geom_line(data = data.frame(curve), color = linecol, size = 1, linetype = 1)
} else {
for(i in 1:length(curve)) {
p <- p + geom_line(data = data.frame(curve[[i]]), color = linecol[i], size = 1, linetype = 1)
}
}
if(!missing(x)){
p <- p + geom_segment(data = intersections,
aes(x = x, y = 0, xend = x, yend = y), lty = "dotted") +
geom_segment(data = intersections,
aes(x = 0, y = y, xend = x, yend = y), lty = "dotted") +
geom_point(data = intersections, size = 3)
if(geom == "label") {
for(i in 1:length(x)){
p <- p + annotate(geom = "label", x = unlist(intersections[1][i, ]) + 0.25, y = unlist(intersections[2][i, ]) + 0.25, label = rev(labels)[i],
size = 4, fill = "white", color = geomcol)
}
}
if(geom == "text") {
for(i in 1:length(x)){
p <- p + annotate(geom = "text", x = unlist(intersections[1][i, ]) + 0.25, y = unlist(intersections[2][i, ]) + 0.25, label = rev(labels)[i],
size = 4, color = geomcol)
}
}
if(generic == FALSE) {
p <- p + scale_x_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1), breaks = intersections$x, labels = round(intersections$x, 2)) +
scale_y_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1), breaks = intersections$y, labels = round(intersections$y, 2))
} else {
if(ncurve == 1 | missing(...)){
p <- p + scale_x_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1),
breaks = intersections$x, labels = sapply(length(x):1, function(i) as.expression(bquote(X[.(LETTERS[i])])))) +
scale_y_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1),
breaks = intersections$y, labels = sapply(length(x):1, function(i) as.expression(bquote(Y[.(LETTERS[i])]))))
} else {
labels <- sapply(length(intersections$x):1, function(i) as.expression(bquote(X[.(LETTERS[i])])))
p <- p + scale_x_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1),
breaks = intersections$x, labels = labels) +
scale_y_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1),
breaks = x, labels =sapply(length(x):1, function(i) as.expression(bquote(Y[.(LETTERS[i])]))))
}
}
} else {
p <- p + scale_x_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1)) +
scale_y_continuous(expand = c(0, 0), limits = c(0, max(unlist(curve)) + 1))
}
p <- p + labs(x = xlab, y = ylab, title = main, subtitle = sub)
p <- p +
# coord_equal() +
theme_classic() +
theme(plot.title = element_text(size = rel(1.3)),
# axis.text.x = element_text(colour = linecol),
axis.title.y = element_text(margin = margin(t = 0, r = 10, b = 0, l = 0), angle = 0, vjust = 1),
axis.title.x = element_text(margin = margin(t = 0, r = 25, b = 0, l = 0), angle = 0, hjust = 1),
plot.background = element_rect(fill = bg.col),
plot.margin = margin(0.5, 1, 0.5, 0.5, "cm"))
if(!missing(x)){
return(list(p = p, intersections = intersections, curve = curve))
} else {
return(list(p = p, curve = curve))
}
}
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